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use crate::{Classifier, Control};
use ndarray::{s, Array1, Array2, ArrayView2, Axis};
use std::cell::{Ref, RefCell};
#[allow(non_camel_case_types)]
pub struct kNN<'a, 'b> {
X: &'a ArrayView2<'b, f64>,
ordering: RefCell<Option<Array2<usize>>>,
control: &'a Control,
}
impl<'a, 'b> kNN<'a, 'b> {
pub fn new(X: &'a ArrayView2<'b, f64>, control: &'a Control) -> kNN<'a, 'b> {
kNN {
X,
ordering: RefCell::new(Option::None),
control,
}
}
fn calculate_ordering(&self) -> Array2<usize> {
let n = self.X.nrows();
let mut distances = Array2::<f64>::zeros((n, n));
for i in 0..n {
for j in 0..n {
if i >= j {
distances[[i, j]] = distances[[j, i]]
} else {
for k in 0..self.X.ncols() {
distances[[i, j]] += (self.X[[i, k]] - self.X[[j, k]]).powi(2)
}
}
}
}
let mut ordering = Array2::<usize>::default((n, n));
for (i, mut row) in ordering.axis_iter_mut(Axis(0)).enumerate() {
let mut order: Vec<usize> = (0..n).collect();
order.sort_unstable_by(|a, b| {
distances[[i, *a]].partial_cmp(&distances[[i, *b]]).unwrap()
});
for (j, val) in row.iter_mut().enumerate() {
*val = order[j]
}
}
ordering
}
fn get_ordering(&self) -> Ref<Array2<usize>> {
if self.ordering.borrow().is_none() {
self.ordering.replace(Some(self.calculate_ordering()));
}
Ref::map(self.ordering.borrow(), |borrow| borrow.as_ref().unwrap())
}
}
impl<'a, 'b> Classifier for kNN<'a, 'b> {
fn n(&self) -> usize {
self.X.nrows()
}
fn predict(&self, start: usize, stop: usize, split: usize) -> Array1<f64> {
let ordering = self.get_ordering();
let segment_length = stop - start;
let k = (segment_length as f64).sqrt().floor();
let k_usize = k as usize;
let mut predictions = Array1::<f64>::zeros(segment_length);
for (i, row) in ordering
.slice(s![start..stop, ..])
.axis_iter(Axis(0))
.enumerate()
{
predictions[i] = row
.iter()
.skip(1)
.filter(|j| (start <= **j) & (**j < stop))
.take(k_usize)
.filter(|j| **j >= split)
.count() as f64
/ k;
}
predictions
}
fn control(&self) -> &Control {
self.control
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::gain::{ApproxGain, ClassifierGain, Gain};
use crate::optimizer::{Optimizer, TwoStepSearch};
use crate::testing;
use assert_approx_eq::*;
use ndarray::arr1;
use rstest::*;
#[test]
fn test_X_ordering() {
let X = ndarray::array![[1.], [1.5], [3.], [-0.5]];
let X_view = X.view();
let control = Control::default();
let knn = kNN::new(&X_view, &control);
let ordering = knn.calculate_ordering();
let expected = ndarray::array![[0, 1, 3, 2], [1, 0, 2, 3], [2, 1, 0, 3], [3, 0, 1, 2]];
assert_eq!(ordering, expected)
}
#[rstest]
#[case(0, 6, 2, arr1(&[0.5, 0.5, 0., 1., 1., 0.5]))]
#[case(0, 6, 3, arr1(&[0., 0., 0., 1., 1., 0.5]))]
#[case(1, 6, 2, arr1(&[1., 0.5, 1., 1., 0.5]))]
#[case(1, 5, 2, arr1(&[1., 0.5, 0.5, 0.5]))]
#[case(1, 5, 5, arr1(&[0., 0., 0., 0.]))]
#[case(2, 2, 2, arr1(&[]))]
fn test_predictions(
#[case] start: usize,
#[case] stop: usize,
#[case] split: usize,
#[case] expected: Array1<f64>,
) {
let X = ndarray::array![
[1., 1.],
[1.5, 1.],
[0.5, 1.],
[3., 3.],
[4.5, 3.],
[2.5, 2.5]
];
let X_view = X.view();
let control = Control::default();
let knn = kNN::new(&X_view, &control);
let predictions = knn.predict(start, stop, split);
assert_eq!(predictions, expected);
}
#[rstest]
#[case(0, 6, arr1(&[0.0, 0.0, -3.3325539228390255, 4.796659545476027, -9.55569673879512, 0.0]))]
fn test_gain(#[case] start: usize, #[case] stop: usize, #[case] expected: Array1<f64>) {
let X = ndarray::array![
[1., 1.],
[1.5, 1.],
[0.5, 1.],
[3., 3.],
[4.5, 3.],
[2.5, 2.5]
];
let X_view = X.view();
let control = Control::default();
let knn = kNN::new(&X_view, &control);
let knn_gain = ClassifierGain { classifier: knn };
let split_points: Vec<usize> = (start..stop).collect();
for split_point in start..stop {
assert_approx_eq!(
expected[split_point - start],
knn_gain.gain(start, stop, split_point)
);
assert_approx_eq!(
expected[split_point - start],
knn_gain
.gain_approx(start, stop, split_point, &split_points)
.gain[split_point - start]
)
}
}
#[rstest]
#[case(0, 100, 25)]
fn test_two_step_search(#[case] start: usize, #[case] stop: usize, #[case] expected: usize) {
let X = testing::array();
let X_view = X.view();
let control = Control::default().with_minimal_relative_segment_length(0.01);
let classifier = kNN::new(&X_view, &control);
let gain = ClassifierGain { classifier };
let optimizer = TwoStepSearch { gain };
assert_eq!(
expected,
optimizer.find_best_split(start, stop).unwrap().best_split
);
}
}